From my experience a "diabetic eye exam" is just a traditional dilated eye exam. I had an eye injury in 1st grade that required surgery and yearly exams for a few years...everything turned out fine, and when I started getting eye exams for diabetes a few years later they were no different than the eye exams related to my injury.
The only thing I'd suggest is going to an Ophthalmologist vs an Optometrist. The former have been to medical school and undoubtedly have more knowledge about diabetes. Look for an MD or DO by the doc's name to see if the doc is an Ophthalmologist (man, that's hard to spell).